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Linear Algebra: Inverse of a Function, Surjective and Injective Functions




 


A series of linear algebra lectures given in videos.

Linear Algebra: Introduction to the inverse of a function
Proof: Invertibility implies a unique solution to f(x)=y
Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.



Surjective (onto) and Injective (one-to-one) functions
Introduction to surjective and injective functions
Relating invertibility to being onto and one-to-one
Relating invertibility to being onto (surjective) and one-to-one (injective)


 
Determining whether a transformation is onto


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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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